Registering middleware in Laravel involves creating a middleware class that contains logic to run on HTTP requests. This class is then registered in the app/Http/Kernel.php file inside the $routeMiddleware array, linking a short name like 'auth' to the middleware class. After registration, this middleware name can be assigned to routes or route groups to protect them. When a request hits a route with middleware, Laravel runs the middleware's handle method. The middleware can check conditions like user authentication and decide to allow the request to continue to the controller or redirect the user elsewhere. This process ensures controlled access and request modification in Laravel applications.